Search a number
-
+
20711601 = 32372412
BaseRepresentation
bin100111100000…
…0100010110001
31102222020222100
41033000202301
520300232401
62015531013
7341021451
oct117004261
942866870
1020711601
1110766a29
126b29a69
1343a22b1
142a71d61
151c41b86
hex13c08b1

20711601 has 27 divisors (see below), whose sum is σ = 31515393. Its totient is φ = 13106880.

The previous prime is 20711599. The next prime is 20711609. The reversal of 20711601 is 10611702.

The square root of 20711601 is 4551.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 245025 + 20466576 = 495^2 + 4524^2 .

It is not a de Polignac number, because 20711601 - 21 = 20711599 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20711609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 505141 + ... + 505181.

Almost surely, 220711601 is an apocalyptic number.

20711601 is the 4551-st square number.

20711601 is the 2276-th centered octagonal number.

It is an amenable number.

20711601 is a deficient number, since it is larger than the sum of its proper divisors (10803792).

20711601 is an equidigital number, since it uses as much as digits as its factorization.

20711601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The cubic root of 20711601 is about 274.6236217447.

It can be divided in two parts, 20711 and 601, that added together give a palindrome (21312).

The spelling of 20711601 in words is "twenty million, seven hundred eleven thousand, six hundred one".

Divisors: 1 3 9 37 41 111 123 333 369 1369 1517 1681 4107 4551 5043 12321 13653 15129 56129 62197 168387 186591 505161 559773 2301289 6903867 20711601